**Net Force Calculation on a Point Charge****Problem Statement:**What is the net force on the \(-10 \mu C\) point charge?**Diagram Explanation:**The diagram illustrates a system of three point charges and their relative distances:- There are three charges labeled as \(-10 \mu C\), \(-30 \mu C\), and \(40 \mu C\).- The \(-10 \mu C\) charge is positioned 7 cm away from the \(-30 \mu C\) charge, 24 cm away from the \(40 \mu C\) charge, and 25 cm away from the \(-30 \mu C\) charge.- The charges are positioned in such a way that they form a right triangle.**Options Provided:**1. 488 N2. 613 N3. 554 N4. 24 N5. 41 NThe numerical values will further help in calculating the net force using Coulomb's Law.**Concept Explanation:**To find the net force on the \(-10 \mu C\) charge, we use Coulomb’s Law, which states that the magnitude of the force \( F \) between two point charges is:\[ F = k_e \frac{|q_1 q_2|}{r^2} \]Where:- \( k_e \) is Coulomb's constant (\( 8.99 \times 10^9 \, Nm^2/C^2 \))- \( q_1 \) and \( q_2 \) are the magnitudes of the charges- \( r \) is the distance between the chargesThe net force is the vector sum of forces exerted on the \(-10 \mu C\) charge by the other two charges. This involves calculating each force individually and then combining them using vector addition principles.**Answer Choices Analysis:**Given the options, we would typically solve the problem step-by-step as outlined, making use of given measurements and fundamental principles of electrostatics.**Interactive Element:**To enhance learning, students might be prompted to attempt the detailed calculations and conceptual understanding to arrive at one of the provided answers.

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What is the net force on -10µC point charge? -10 μC I 24 cm 7 cm -30 μC 488 N O 613 N O 554 N 24 N 041N 25 cm 40 μC

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 18P

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

**Net Force Calculation on a Point Charge**

**Problem Statement:**
What is the net force on the \(-10 \mu C\) point charge?

**Diagram Explanation:**
The diagram illustrates a system of three point charges and their relative distances:
- There are three charges labeled as \(-10 \mu C\), \(-30 \mu C\), and \(40 \mu C\).
- The \(-10 \mu C\) charge is positioned 7 cm away from the \(-30 \mu C\) charge, 24 cm away from the \(40 \mu C\) charge, and 25 cm away from the \(-30 \mu C\) charge.
- The charges are positioned in such a way that they form a right triangle.

**Options Provided:**
1. 488 N
2. 613 N
3. 554 N
4. 24 N
5. 41 N

The numerical values will further help in calculating the net force using Coulomb's Law.

**Concept Explanation:**
To find the net force on the \(-10 \mu C\) charge, we use Coulomb’s Law, which states that the magnitude of the force \( F \) between two point charges is:

\[ F = k_e \frac{|q_1 q_2|}{r^2} \]

Where:
- \( k_e \) is Coulomb's constant (\( 8.99 \times 10^9 \, Nm^2/C^2 \))
- \( q_1 \) and \( q_2 \) are the magnitudes of the charges
- \( r \) is the distance between the charges

The net force is the vector sum of forces exerted on the \(-10 \mu C\) charge by the other two charges. This involves calculating each force individually and then combining them using vector addition principles.

**Answer Choices Analysis:**
Given the options, we would typically solve the problem step-by-step as outlined, making use of given measurements and fundamental principles of electrostatics.

**Interactive Element:**
To enhance learning, students might be prompted to attempt the detailed calculations and conceptual understanding to arrive at one of the provided answers.

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